О совместном становлении математики и философии в Древней Греции
We calculate characteristic polynomials of operators explicitly represented as polynomials of rank $1$ operators. Applications of the results obtained include a generalization of the Forman--Kenyon's formula for a determinant of the graph Laplacian and also provide its level $2$ analog involving summation over triangulated nodal surfaces with boundary.
The article is concerned with the study of a number of illustrated books of World War I ("the Great War documents") which were edited by the right wing Weimar intellectual Ernst Junger. It is his concept of the Total Mobilization which allows me to demonstrate a genetic connection between photography and cinema as "modern mass-media" and the phaenomenon of a technical war. For Junger a technical war and technology in general are the art and way, in which the figure of The Worker is mobilizing the world and aims for a global dominance. Thus the illustrated books of the Great War appear as documents of a global transformation and indicate a new heroic experience of a modern technical reality comparable with films of Dziga Vertov, Leni Riefenstahl or Fritz Lang.